Answers
Step-by-step explanation:
we need to find the slope of each line.
the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
parallel lines have the same slope.
for a perpendicular line x and y in the slope ratio are put upside down, and the sign is flipped (+ to - and vice versa).
a.
2x - 8y = -24
2x + 24 = 8y
y = 2/8 x + 24/8 = 1/4 x + 3
the slope is 1/4 (always the factor of x).
4x + y = -2
y = -4x - 2
the slope is -4 = -4/1.
this line is therefore perpendicular to the first line.
x - 4y = 4
x - 4 = 4y
y = 1/4 x - 4/4 = 1/4 x - 1
the slope is 1/4.
this line is therefore parallel to the first line.
b.
3x - 9y = 9
9y = 3x - 9
y = 3/9 x - 9/9 = 1/3 x - 1
the slope is 1/3
3y = x + 12
y = 1/3 x + 4
the slope is 1/3.
this line is therefore parallel to the first line.
2x - 6y = 12
6y = 2x - 12
y = 2/6 x - 12/6 = 1/3 x - 2
the slope is 1/3.
this line is therefore parallel to the first line.
Related Questions
write the function in standard form y=-(x+3)(x+7)
Answers
To write this in standard form we need to multiply the two terms in parenthesis on the right side of the equation.
To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
y
=
−
3
(
x
−
7
)
(
x
+
4
)
becomes:
y
=
−
3
(
(
x
×
x
)
+
(
x
×
4
)
−
(
7
×
x
)
−
(
7
×
4
)
)
y
=
−
3
(
x
2
+
4
x
−
7
x
−
28
)
We can now combine like terms:
y
=
−
3
(
x
2
+
(
4
−
7
)
x
−
28
)
y
=
−
3
(
x
2
−
3
x
−
28
)
We can now multiply each term in parenthesis by
−
3
:
y
=
(
−
3
×
x
2
)
−
(
−
3
×
3
x
)
−
(
−
3
×
28
)
y=−3x2+9x+84
p
^2 is to the power of
High School: Grade 8
Math
Activity 1: Object's Position Description: This activity will enable you to give the coordinates of the point where the object is located. Direction: Describe the location of each point below by the completing the following table. An example is done for you.
Object:
Example:Ball
1. Spoon
2. Television Set
3. Laptop
4. Bag
5. Pillow
6. Camera
7. Table
Coordinates:
Example: (4,2)
1.
2.
3.
4.
5.
6.
7.
Quadrant/Axis
Example: |
1.
2.
3.
4.
5.
6.
7.
Answers
Answer:
Don't know if you still need this,
Coordinates:
________________
1. (6,-5)
2. (-5,6)
3. (2,-4)
4. (-4,-3)
5. (1,5)
6. (0,0)
7. (-2,2)
Quadrant/Axis:
____________
1. 4
2. 2
3. 4
4. 3
5. 1
6. 0
7. 2
Working alone, it takes Rob ten hours to
dig a 10 ft by 10 ft hole. Alberto can dig
the same hole in eight hours. How long
would it take them if they worked
together?
Answers
Sorry if I’m wrong … hope this helps!!
A small rectangular tissue box is 0.5 feet long, 0.2 feet wide, and 0.3 feet deep. The box is filled completely with tissues
Answers
Answer:
the volume of the tissue box would be 0.2×0.5×0.3. the volume of a rectangular prisim is V=l×w×h
I WILL GIVE BRAINLIEST IF CORRECT!!
Car A is traveling east at a steady speed of 50 miles per hour. After 2 hours, it
is 140 miles east of Johnstown.
Car B is traveling east on the same road. Its distance east of Johnstown is
represented by the graph.
Where were the two cars in relation to each other when they began traveling?
A. Car A was 20 miles east of car B
B. Car B was 40 miles east of car A
C. Car A was 40 miles east of car B
D. Car B was 20 miles east of car A
Answers
Answer:
D. Car B was 20 miles east of car A
Dilate the figure by a scale factor of 2.5. Then, mark the statements as true or false.
Answers
After dilate the figure by a scale factor of 2.5, the orientation of the figure is not change.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The figure is dilated by a a scale factor of 2.5.
Now, We know that;
After dilation we get the pre image of the image which orientation of the figure is not change and both are similar to each other.
Thus, After dilate the figure by a scale factor of 2.5, the orientation of the figure is not change.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Classify each number below as a rational number or an irrational number.
Answers
Answer:
In order from top to bottom, I would say:
irrational
rational
rational
irrational
irrational
Good luck :)
Complete these:
1.A square is a polygon with _ equal sides
2.All the sides are _
3.They measure _ degrees each
4.A rectangle is a polygon with _ opposite side
5. There are _ sets of parallel lines
6.A parallelogram has opposite sides
Answers
Answer:
1. 4 sides
2. Congruent
3. 90°
4. 2 opposite sides
5. 2 sets
6. 2 opposite sides
2.) equal
3.) 90
4.) 2
5.) 2
6.) 2
What is the value of the c?
Answers
Answer:
?. we'll need the value of a and b to find c
!!! PLS HELP !!! how to construct a square equal in area to a rectangle and equal in area to a triangle (AB=70mm/7cm)
Answers
Find each unit rate. Round to the nearest hundredth if necessary.
$1.12 for 8.2 ounces
Answers
Rounded to the nearest hundredth you get $0.14/ounce
help me i want to know this answer
Answers
Answer:
B) x=2
Step-by-step explanation:
6x+3=3(7-x)
6x+3=21-3x
9x+3=21
9x=18
x=2
Mr James gives £500 to his children Ally,
Barry and Cat in the ratio 2:3:5.
How much do they each receive?
Answers
Answers:
Ally gets 100 poundsBarry gets 150 poundsCat gets 250 pounds=====================================================
Work Shown:
x = some positive real number
2x = amount Ally gets
3x = amount Barry gets
5x = amount Cat gets
Note that the ratio 2x:3x:5x reduces to 2:3:5 after dividing all parts by x.
Add up the parts and you should get a sum of 500 pounds. Solve for x.
2x+3x+5x = 500
10x = 500
x = 500/10
x = 50
Based on that x value, we then can say:
2x = 2*50 = 100 pounds is what Ally gets3x = 3*50 = 150 pounds is what Barry gets5x = 5*50 = 250 pounds is what Cat getsAs a check, 100+150+250 = 500.
Also, note that the ratio 100:150:250 fully reduces to 2:3:5 after dividing all parts by the GCF 50.
Those two facts help confirm our answers.
Arianna squared a number, n, and then multiplied the number by 4. She multiplied a second number, s, by –8 and added the two products. Derrick squared the first number, n, and then multiplied the number by –6. He multiplied the second number by 14 and added the products. Arianna and Derrick added their results. Which of the following represents Arianna's and Derrick's sum?
Answers
Answer:
Step-by-step explanation:
Can someone help me pls
h(0)=
Answers
Answer:
(-2 1/2 , 6 1/2)?
I m thinking cuz h is between 2 numbers as if there is any other solution..
Need help asap!!! I’ll give brainliest
Answers
Answer:.
Step-by-step explanation: It wont show on my device sir/ma´am/person. Maybe its because of my device ..if not it could possibly be perhaps you somehow put a wrong file? Not to sure on this problem. But i truly hope its just my device and not yours. But other than that; enjoy your day!
(Btw, please dont give me anything. I didnt even answer what you need help on. But wish you luck on it.)
Answer:
D. x^3 - 11
Step-by-step explanation:
y = ∛ x + 11
x = ∛ y + 11
x^3 = y + 11
x^3 - 11 = y
Hopefully this helped!
Brainliest please?
Find the value of the power
9²
Answers
Answer:
[tex]{ \tt{ {9}^{2} \: \dashrightarrow \: {(3}^{2})^{2} \: \dashrightarrow \: {3}^{4} }} \\ \\ = { \boxed{ \rm{ \: 81 \: \: }}}[/tex]
(5, 3) and (6, r) m = -1
Answers
Answer:
r = 2
Step-by-step explanation:
(2-3)/(6-5)
= -1/1
= -1
Piecewise function, evaluate f(1)F(x)={6x+4 x<-3{-5x-8 x>=-3
Answers
Answer:
10x<9x>=-3
Step-by-step explanation:
(6x +4x <-3 (5x-8>=-3
10x<-3(-3x>=-3
multiple the bracket by -3
10x<9x>-3
help me pls ASAP I need it in 5mins
Answers
Answer:
{4,6,8,9,10,12, ...}
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.
— https://en.m.wikipedia.org/wiki/Composite_number
PLEASE ANSWER QUICK (GIVING BRAINLESIT)
a submarine is located 358 feet below sea level. it ascends 169 feet. At what depth is the submarine now
Answers
Answer:
189
Step-by-step explanation:
Ascending means to go upwards. So, since it is below the surface heading upwards, you would subtract the amount of feet that it went up by from the depth it was previously at.
358, take away 169, is 189.
I hope this helped! :)
Simplify -2x^2 - 2y^2 - 2z^2 + 5x^2 - 2y - 4x
Answers
Answer:
Step-by-step explanation:
Which is greater or less than 6 gal or 30 qt
Answers
Answer:
Step-by-step explanation:
4 quarts = 1 US Gallon.
6 gal = 4* 6 = 24 quarts.
30 quarts is greater then 6 gallons.
Click and drag like terms onto each other to simplify fully.
7-1-x+4y-5y-6
Answers
Write the recurring decimal 0.36 as a fraction. Give your answer in its simplest form. [0.36 means 0.3666...]
Answers
Answer:
.
Step-by-step explanation:
x
=
0.3666
.
.
(1)
10
x
=
3.666
...
(2)
100
x
=
36.666
...
(2)-(1):
100
x
−
10
x
=
36.666
...
−
3.666
...
90
x
=
33
x
=
33
90
=
11
30
Answer:
9/25
Step-by-step explanation:
In this case, 0.36 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point.
⇒ 36/100
After reducing this fraction we get
⇒ (36 ÷ 4) / (100 ÷ 4) = 9/25
What division problem does this area model
represent?
Enter your answer in the boxes,
73
+ 75 =
R.
Answers
Answer:
Step-by-step explanation:
Ok can u plz add the pic of the model so we can help u
Determine whether the pair of lines is parallel, perpendicular, or neither.
x−4y=−9
y=3x−7
Choose the correct answer below.
A.
More information is needed.
B.
The two lines are perpendicular.
C.
The two lines are neither parallel nor perpendicular.
D.
The two lines are parallel.
Answers
Answer:
C
Step-by-step explanation:
you want to get y by itself and they would have the same slope if they were parallel. The Slope is not the same. to be perpendicular the sign would need to be changed 1/4 and 3 are not opposites. So it would make it C
Translate the sentence into an equation: The perimeter of a regular pentagon is 5 times the length of each side.
P=s+s+s+s
P=s+s+s
P=5s
5P=s
Answers
Answer:
P = 2(5w) + 2 (5L)
Step-by-step explanation:
Help pls I’m confused with this question ;/ and I will give brainliest :3
Answers
Answer:
I'm guessing frequency means deposits,
a. 13
b. $50
c. not sure what this means (sorry!)
d. $2,535
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Part A
Answer: 13-------------
Explanation:
Add up all the values in the frequency column. This is because everything in the table represents a deposit of some kind.
3+1+5+2+2 = 13
========================================================
Part B
Answer: $50-------------
Explanation:
Simply list the value that has the highest frequency. This is the mode. It's possible to have more than one mode, and it's also possible to not have any mode at all.
========================================================
Part C
Answer: Median-------------
Explanation:
Let's list out all of the deposits. The repeats aren't typos. The deposits are
125, 125, 125, 300, 50, 50, 50, 50, 50, 205, 205, 100, 100
They sort to
50, 50, 50, 50, 50, 100, 100, 125, 125, 125, 205, 205, 300
Since we have n = 13 items here, the halfway point is n/2 = 13/2 = 6.5 which rounds to 7. The median is in slot 7. We have 6 items below the median and 6 items above the median (giving 6+1+6 = 13 total).
The value in slot 7 is 100, which shows us that 100 is the median.
========================================================
Part D
Answer: $2535-------------
Explanation:
Form a third column of values where we multiply each deposit by the corresponding frequency. Check out the table below.
After this third column is formed, add up those values to get the total amount of deposits. Spreadsheet software can make quick work of something like this. I used OpenOffice spreadsheet which is free software.
You should find that 1535 is the total amount deposited. This value is then added onto the $1000 already in there to get 1000+1535 = 2535
pleassseee helpp!!!!! due in 10 mins!!
Answers
PLEASE MARK BRAINIEST :)
Let (x1, y1) = (10, 30)
(x2, y2) = (50, 50)
Use the following slope formula:
m = (y2 - y1)/(x2 - x1)
m = (50 - 30) / (50 - 10)
m = 20/40 or 1/2
Therefore, the slope of the line is 1/2.
Please mark my answers as the Brainliest, if you find this explanation helpful :)